[" (ii) "2x^(2)+x-4=0],[" (iv) "2x^(2)+x+4=0]

Examine the nature of the roots of the equations (i) 2x^(2)+2x+3=0 (ii) 2x^(2)-7x+3=0 (iii) x^(2)_5x-2=0 (iv) 4x^(2)-4x+1=0

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

Find the roots of the quadratic equations by applying the quadratic formula.(i) 2x^(2)-7x+3=0 (ii) 2x^(2)+x-4=0 (iii) 4x^(2)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Find the roots of the following quadratic equations,if they exist,by the method of completing the square: (i) 2x^(2)-7x+3=0 (ii) quad 2x^(2)+x-4=0 (iii) (iv)

Write the discriminant of the following quadratic equations: x^(2)-4x+2=0 (ii) 3x^(2)+2x-1=0 (iii) x^(2)-4x+a=0

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .